Method of total approximation for singularly perturbed elliptic equations with convective terms (Q2734707)
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scientific article; zbMATH DE number 1635804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Method of total approximation for singularly perturbed elliptic equations with convective terms |
scientific article; zbMATH DE number 1635804 |
Statements
12 May 2002
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singular perturbation
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mesh generation
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difference scheme
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condensing meshes
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method of total approximation
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convergence
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Method of total approximation for singularly perturbed elliptic equations with convective terms (English)
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This paper deals with the Dirichlet boundary value problem for elliptic equations on an \(n\)-dimensional parallelepiped. The author constructs a difference scheme using the classical difference schemes for ordinary differential equations on specially condensing meshes. The construction of this scheme is done on the basis of the method of total approximation. The \(\varepsilon\)-uniform convergence of the difference scheme is studied.
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